Finding the Third Proportional to 77,233.50 and 113,511.38

Step by Step Solution

1. Step 1: Write the proportion equation
   77,233.50 : 113,511.38 = 113,511.38 : x
2. Step 2: Convert to fraction form
   77,233.50/113,511.38 = 113,511.38/x
3. Step 3: Cross multiply
   77,233.50x = 113,511.38 × 113,511.38
4. Step 4: Simplify right side
   77,233.50x = 12,884,832,254.39
5. Step 5: Solve for x
   x = 12,884,832,254.39/77,233.50
6. Step 6: Final answer
   x = 166,829.58