Finding the Third Proportional to 265,978.50 and 398,026.50

Step by Step Solution

1. Step 1: Write the proportion equation
   265,978.50 : 398,026.50 = 398,026.50 : x
2. Step 2: Convert to fraction form
   265,978.50/398,026.50 = 398,026.50/x
3. Step 3: Cross multiply
   265,978.50x = 398,026.50 × 398,026.50
4. Step 4: Simplify right side
   265,978.50x = 158,425,094,702.25
5. Step 5: Solve for x
   x = 158,425,094,702.25/265,978.50
6. Step 6: Final answer
   x = 595,631.21