Finding the Third Proportional to 77,508.75 and 109,705.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,508.75 : 109,705.50 = 109,705.50 : x
2. Step 2: Convert to fraction form
   77,508.75/109,705.50 = 109,705.50/x
3. Step 3: Cross multiply
   77,508.75x = 109,705.50 × 109,705.50
4. Step 4: Simplify right side
   77,508.75x = 12,035,296,730.25
5. Step 5: Solve for x
   x = 12,035,296,730.25/77,508.75
6. Step 6: Final answer
   x = 155,276.62