Finding the Third Proportional to 77,440 and 113,892

Step by Step Solution

1. Step 1: Write the proportion equation
   77,440 : 113,892 = 113,892 : x
2. Step 2: Convert to fraction form
   77,440/113,892 = 113,892/x
3. Step 3: Cross multiply
   77,440x = 113,892 × 113,892
4. Step 4: Simplify right side
   77,440x = 12,971,387,664
5. Step 5: Solve for x
   x = 12,971,387,664/77,440
6. Step 6: Final answer
   x = 167,502.42