Finding the Third Proportional to 188,539.50 and 406,599

Step by Step Solution

1. Step 1: Write the proportion equation
   188,539.50 : 406,599 = 406,599 : x
2. Step 2: Convert to fraction form
   188,539.50/406,599 = 406,599/x
3. Step 3: Cross multiply
   188,539.50x = 406,599 × 406,599
4. Step 4: Simplify right side
   188,539.50x = 165,322,746,801
5. Step 5: Solve for x
   x = 165,322,746,801/188,539.50
6. Step 6: Final answer
   x = 876,860.00