Finding the Third Proportional to 62,526 and 89,349

Step by Step Solution

1. Step 1: Write the proportion equation
   62,526 : 89,349 = 89,349 : x
2. Step 2: Convert to fraction form
   62,526/89,349 = 89,349/x
3. Step 3: Cross multiply
   62,526x = 89,349 × 89,349
4. Step 4: Simplify right side
   62,526x = 7,983,243,801
5. Step 5: Solve for x
   x = 7,983,243,801/62,526
6. Step 6: Final answer
   x = 127,678.79