Finding the Third Proportional to 152,850 and 203,854.50

Step by Step Solution

1. Step 1: Write the proportion equation
   152,850 : 203,854.50 = 203,854.50 : x
2. Step 2: Convert to fraction form
   152,850/203,854.50 = 203,854.50/x
3. Step 3: Cross multiply
   152,850x = 203,854.50 × 203,854.50
4. Step 4: Simplify right side
   152,850x = 41,556,657,170.25
5. Step 5: Solve for x
   x = 41,556,657,170.25/152,850
6. Step 6: Final answer
   x = 271,878.69