Finding the Third Proportional to 127,588.50 and 298,012.50

Step by Step Solution

1. Step 1: Write the proportion equation
   127,588.50 : 298,012.50 = 298,012.50 : x
2. Step 2: Convert to fraction form
   127,588.50/298,012.50 = 298,012.50/x
3. Step 3: Cross multiply
   127,588.50x = 298,012.50 × 298,012.50
4. Step 4: Simplify right side
   127,588.50x = 88,811,450,156.25
5. Step 5: Solve for x
   x = 88,811,450,156.25/127,588.50
6. Step 6: Final answer
   x = 696,077.23