Finding the Third Proportional to 107,094 and 233,262

Step by Step Solution

1. Step 1: Write the proportion equation
   107,094 : 233,262 = 233,262 : x
2. Step 2: Convert to fraction form
   107,094/233,262 = 233,262/x
3. Step 3: Cross multiply
   107,094x = 233,262 × 233,262
4. Step 4: Simplify right side
   107,094x = 54,411,160,644
5. Step 5: Solve for x
   x = 54,411,160,644/107,094
6. Step 6: Final answer
   x = 508,069.18