Finding the Third Proportional to 113,199 and 165,787.50

Step by Step Solution

1. Step 1: Write the proportion equation
   113,199 : 165,787.50 = 165,787.50 : x
2. Step 2: Convert to fraction form
   113,199/165,787.50 = 165,787.50/x
3. Step 3: Cross multiply
   113,199x = 165,787.50 × 165,787.50
4. Step 4: Simplify right side
   113,199x = 27,485,495,156.25
5. Step 5: Solve for x
   x = 27,485,495,156.25/113,199
6. Step 6: Final answer
   x = 242,806.87