Finding the Third Proportional to 77,800.50 and 88,492.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,800.50 : 88,492.50 = 88,492.50 : x
2. Step 2: Convert to fraction form
   77,800.50/88,492.50 = 88,492.50/x
3. Step 3: Cross multiply
   77,800.50x = 88,492.50 × 88,492.50
4. Step 4: Simplify right side
   77,800.50x = 7,830,922,556.25
5. Step 5: Solve for x
   x = 7,830,922,556.25/77,800.50
6. Step 6: Final answer
   x = 100,653.88