Finding the Third Proportional to 188,587.50 and 406,699.50

Step by Step Solution

1. Step 1: Write the proportion equation
   188,587.50 : 406,699.50 = 406,699.50 : x
2. Step 2: Convert to fraction form
   188,587.50/406,699.50 = 406,699.50/x
3. Step 3: Cross multiply
   188,587.50x = 406,699.50 × 406,699.50
4. Step 4: Simplify right side
   188,587.50x = 165,404,483,300.25
5. Step 5: Solve for x
   x = 165,404,483,300.25/188,587.50
6. Step 6: Final answer
   x = 877,070.24