Finding the Third Proportional to 77,766 and 112,402.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,766 : 112,402.50 = 112,402.50 : x
2. Step 2: Convert to fraction form
   77,766/112,402.50 = 112,402.50/x
3. Step 3: Cross multiply
   77,766x = 112,402.50 × 112,402.50
4. Step 4: Simplify right side
   77,766x = 12,634,322,006.25
5. Step 5: Solve for x
   x = 12,634,322,006.25/77,766
6. Step 6: Final answer
   x = 162,465.88