Finding the Third Proportional to 155,250 and 208,642.50

Step by Step Solution

1. Step 1: Write the proportion equation
   155,250 : 208,642.50 = 208,642.50 : x
2. Step 2: Convert to fraction form
   155,250/208,642.50 = 208,642.50/x
3. Step 3: Cross multiply
   155,250x = 208,642.50 × 208,642.50
4. Step 4: Simplify right side
   155,250x = 43,531,692,806.25
5. Step 5: Solve for x
   x = 43,531,692,806.25/155,250
6. Step 6: Final answer
   x = 280,397.38