Finding the Third Proportional to 72,694 and 148,061

Step by Step Solution

1. Step 1: Write the proportion equation
   72,694 : 148,061 = 148,061 : x
2. Step 2: Convert to fraction form
   72,694/148,061 = 148,061/x
3. Step 3: Cross multiply
   72,694x = 148,061 × 148,061
4. Step 4: Simplify right side
   72,694x = 21,922,059,721
5. Step 5: Solve for x
   x = 21,922,059,721/72,694
6. Step 6: Final answer
   x = 301,566.29