Finding the Third Proportional to 86,500 and 191,787.50

Step by Step Solution

1. Step 1: Write the proportion equation
   86,500 : 191,787.50 = 191,787.50 : x
2. Step 2: Convert to fraction form
   86,500/191,787.50 = 191,787.50/x
3. Step 3: Cross multiply
   86,500x = 191,787.50 × 191,787.50
4. Step 4: Simplify right side
   86,500x = 36,782,445,156.25
5. Step 5: Solve for x
   x = 36,782,445,156.25/86,500
6. Step 6: Final answer
   x = 425,230.58