Finding the Third Proportional to 541,023 and 841,030.50

Step by Step Solution

1. Step 1: Write the proportion equation
   541,023 : 841,030.50 = 841,030.50 : x
2. Step 2: Convert to fraction form
   541,023/841,030.50 = 841,030.50/x
3. Step 3: Cross multiply
   541,023x = 841,030.50 × 841,030.50
4. Step 4: Simplify right side
   541,023x = 707,332,301,930.25
5. Step 5: Solve for x
   x = 707,332,301,930.25/541,023
6. Step 6: Final answer
   x = 1,307,397.84