Finding the Third Proportional to 307,191.50 and 460,787.50

Step by Step Solution

1. Step 1: Write the proportion equation
   307,191.50 : 460,787.50 = 460,787.50 : x
2. Step 2: Convert to fraction form
   307,191.50/460,787.50 = 460,787.50/x
3. Step 3: Cross multiply
   307,191.50x = 460,787.50 × 460,787.50
4. Step 4: Simplify right side
   307,191.50x = 212,325,120,156.25
5. Step 5: Solve for x
   x = 212,325,120,156.25/307,191.50
6. Step 6: Final answer
   x = 691,181.63