Finding the Third Proportional to 142,377 and 206,221.50

Step by Step Solution

1. Step 1: Write the proportion equation
   142,377 : 206,221.50 = 206,221.50 : x
2. Step 2: Convert to fraction form
   142,377/206,221.50 = 206,221.50/x
3. Step 3: Cross multiply
   142,377x = 206,221.50 × 206,221.50
4. Step 4: Simplify right side
   142,377x = 42,527,307,062.25
5. Step 5: Solve for x
   x = 42,527,307,062.25/142,377
6. Step 6: Final answer
   x = 298,695.06