Finding the Third Proportional to 77,419.50 and 113,142.75

Step by Step Solution

1. Step 1: Write the proportion equation
   77,419.50 : 113,142.75 = 113,142.75 : x
2. Step 2: Convert to fraction form
   77,419.50/113,142.75 = 113,142.75/x
3. Step 3: Cross multiply
   77,419.50x = 113,142.75 × 113,142.75
4. Step 4: Simplify right side
   77,419.50x = 12,801,281,877.56
5. Step 5: Solve for x
   x = 12,801,281,877.56/77,419.50
6. Step 6: Final answer
   x = 165,349.58