Finding the Third Proportional to 142,827.50 and 209,820.50

Step by Step Solution

1. Step 1: Write the proportion equation
   142,827.50 : 209,820.50 = 209,820.50 : x
2. Step 2: Convert to fraction form
   142,827.50/209,820.50 = 209,820.50/x
3. Step 3: Cross multiply
   142,827.50x = 209,820.50 × 209,820.50
4. Step 4: Simplify right side
   142,827.50x = 44,024,642,220.25
5. Step 5: Solve for x
   x = 44,024,642,220.25/142,827.50
6. Step 6: Final answer
   x = 308,236.45