Finding the Third Proportional to 75,787.50 and 164,850

Step by Step Solution

1. Step 1: Write the proportion equation
   75,787.50 : 164,850 = 164,850 : x
2. Step 2: Convert to fraction form
   75,787.50/164,850 = 164,850/x
3. Step 3: Cross multiply
   75,787.50x = 164,850 × 164,850
4. Step 4: Simplify right side
   75,787.50x = 27,175,522,500
5. Step 5: Solve for x
   x = 27,175,522,500/75,787.50
6. Step 6: Final answer
   x = 358,575.26