Finding the Third Proportional to 340,100.50 and 508,373.50

Step by Step Solution

1. Step 1: Write the proportion equation
   340,100.50 : 508,373.50 = 508,373.50 : x
2. Step 2: Convert to fraction form
   340,100.50/508,373.50 = 508,373.50/x
3. Step 3: Cross multiply
   340,100.50x = 508,373.50 × 508,373.50
4. Step 4: Simplify right side
   340,100.50x = 258,443,615,502.25
5. Step 5: Solve for x
   x = 258,443,615,502.25/340,100.50
6. Step 6: Final answer
   x = 759,903.66