Finding the Third Proportional to 72,526 and 113,892

Step by Step Solution

1. Step 1: Write the proportion equation
   72,526 : 113,892 = 113,892 : x
2. Step 2: Convert to fraction form
   72,526/113,892 = 113,892/x
3. Step 3: Cross multiply
   72,526x = 113,892 × 113,892
4. Step 4: Simplify right side
   72,526x = 12,971,387,664
5. Step 5: Solve for x
   x = 12,971,387,664/72,526
6. Step 6: Final answer
   x = 178,851.55