Finding the Third Proportional to 406,964 and 598,680.50

Step by Step Solution

1. Step 1: Write the proportion equation
   406,964 : 598,680.50 = 598,680.50 : x
2. Step 2: Convert to fraction form
   406,964/598,680.50 = 598,680.50/x
3. Step 3: Cross multiply
   406,964x = 598,680.50 × 598,680.50
4. Step 4: Simplify right side
   406,964x = 358,418,341,080.25
5. Step 5: Solve for x
   x = 358,418,341,080.25/406,964
6. Step 6: Final answer
   x = 880,712.65