Finding the Third Proportional to 108,607,020,877 and 233,812,575,362

Step by Step Solution

1. Step 1: Write the proportion equation
   108,607,020,877 : 233,812,575,362 = 233,812,575,362 : x
2. Step 2: Convert to fraction form
   108,607,020,877/233,812,575,362 = 233,812,575,362/x
3. Step 3: Cross multiply
   108,607,020,877x = 233,812,575,362 × 233,812,575,362
4. Step 4: Simplify right side
   108,607,020,877x = 54,668,320,397,410,927,902,720
5. Step 5: Solve for x
   x = 54,668,320,397,410,927,902,720/108,607,020,877
6. Step 6: Final answer
   x = 503,358,990,569.53