Finding the Third Proportional to 151,372.50 and 205,672.50

Step by Step Solution

1. Step 1: Write the proportion equation
   151,372.50 : 205,672.50 = 205,672.50 : x
2. Step 2: Convert to fraction form
   151,372.50/205,672.50 = 205,672.50/x
3. Step 3: Cross multiply
   151,372.50x = 205,672.50 × 205,672.50
4. Step 4: Simplify right side
   151,372.50x = 42,301,177,256.25
5. Step 5: Solve for x
   x = 42,301,177,256.25/151,372.50
6. Step 6: Final answer
   x = 279,450.87