Finding the Third Proportional to 542,460 and 802,633.50

Step by Step Solution

1. Step 1: Write the proportion equation
   542,460 : 802,633.50 = 802,633.50 : x
2. Step 2: Convert to fraction form
   542,460/802,633.50 = 802,633.50/x
3. Step 3: Cross multiply
   542,460x = 802,633.50 × 802,633.50
4. Step 4: Simplify right side
   542,460x = 644,220,535,322.25
5. Step 5: Solve for x
   x = 644,220,535,322.25/542,460
6. Step 6: Final answer
   x = 1,187,590.86