Finding the Third Proportional to 77,094.50 and 88,166.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,094.50 : 88,166.50 = 88,166.50 : x
2. Step 2: Convert to fraction form
   77,094.50/88,166.50 = 88,166.50/x
3. Step 3: Cross multiply
   77,094.50x = 88,166.50 × 88,166.50
4. Step 4: Simplify right side
   77,094.50x = 7,773,331,722.25
5. Step 5: Solve for x
   x = 7,773,331,722.25/77,094.50
6. Step 6: Final answer
   x = 100,828.62