Finding the Third Proportional to 115,347 and 155,200.50

Step by Step Solution

1. Step 1: Write the proportion equation
   115,347 : 155,200.50 = 155,200.50 : x
2. Step 2: Convert to fraction form
   115,347/155,200.50 = 155,200.50/x
3. Step 3: Cross multiply
   115,347x = 155,200.50 × 155,200.50
4. Step 4: Simplify right side
   115,347x = 24,087,195,200.25
5. Step 5: Solve for x
   x = 24,087,195,200.25/115,347
6. Step 6: Final answer
   x = 208,823.77