Finding the Third Proportional to 462,595.50 and 725,841

Step by Step Solution

1. Step 1: Write the proportion equation
   462,595.50 : 725,841 = 725,841 : x
2. Step 2: Convert to fraction form
   462,595.50/725,841 = 725,841/x
3. Step 3: Cross multiply
   462,595.50x = 725,841 × 725,841
4. Step 4: Simplify right side
   462,595.50x = 526,845,157,281
5. Step 5: Solve for x
   x = 526,845,157,281/462,595.50
6. Step 6: Final answer
   x = 1,138,889.50