Finding the Third Proportional to 147,991.50 and 209,407.50

Step by Step Solution

1. Step 1: Write the proportion equation
   147,991.50 : 209,407.50 = 209,407.50 : x
2. Step 2: Convert to fraction form
   147,991.50/209,407.50 = 209,407.50/x
3. Step 3: Cross multiply
   147,991.50x = 209,407.50 × 209,407.50
4. Step 4: Simplify right side
   147,991.50x = 43,851,501,056.25
5. Step 5: Solve for x
   x = 43,851,501,056.25/147,991.50
6. Step 6: Final answer
   x = 296,310.94