Finding the Third Proportional to 307,111.50 and 473,789.25

Step by Step Solution

1. Step 1: Write the proportion equation
   307,111.50 : 473,789.25 = 473,789.25 : x
2. Step 2: Convert to fraction form
   307,111.50/473,789.25 = 473,789.25/x
3. Step 3: Cross multiply
   307,111.50x = 473,789.25 × 473,789.25
4. Step 4: Simplify right side
   307,111.50x = 224,476,253,415.56
5. Step 5: Solve for x
   x = 224,476,253,415.56/307,111.50
6. Step 6: Final answer
   x = 730,927.54