Finding the Third Proportional to 147,972 and 320,842.50

Step by Step Solution

1. Step 1: Write the proportion equation
   147,972 : 320,842.50 = 320,842.50 : x
2. Step 2: Convert to fraction form
   147,972/320,842.50 = 320,842.50/x
3. Step 3: Cross multiply
   147,972x = 320,842.50 × 320,842.50
4. Step 4: Simplify right side
   147,972x = 102,939,909,806.25
5. Step 5: Solve for x
   x = 102,939,909,806.25/147,972
6. Step 6: Final answer
   x = 695,671.54