Finding the Third Proportional to 90,526 and 137,294

Step by Step Solution

1. Step 1: Write the proportion equation
   90,526 : 137,294 = 137,294 : x
2. Step 2: Convert to fraction form
   90,526/137,294 = 137,294/x
3. Step 3: Cross multiply
   90,526x = 137,294 × 137,294
4. Step 4: Simplify right side
   90,526x = 18,849,642,436
5. Step 5: Solve for x
   x = 18,849,642,436/90,526
6. Step 6: Final answer
   x = 208,223.52