Finding the Third Proportional to 77,992.50 and 86,193.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,992.50 : 86,193.50 = 86,193.50 : x
2. Step 2: Convert to fraction form
   77,992.50/86,193.50 = 86,193.50/x
3. Step 3: Cross multiply
   77,992.50x = 86,193.50 × 86,193.50
4. Step 4: Simplify right side
   77,992.50x = 7,429,319,442.25
5. Step 5: Solve for x
   x = 7,429,319,442.25/77,992.50
6. Step 6: Final answer
   x = 95,256.84