Finding the Third Proportional to 188,532 and 406,588.50

Step by Step Solution

1. Step 1: Write the proportion equation
   188,532 : 406,588.50 = 406,588.50 : x
2. Step 2: Convert to fraction form
   188,532/406,588.50 = 406,588.50/x
3. Step 3: Cross multiply
   188,532x = 406,588.50 × 406,588.50
4. Step 4: Simplify right side
   188,532x = 165,314,208,332.25
5. Step 5: Solve for x
   x = 165,314,208,332.25/188,532
6. Step 6: Final answer
   x = 876,849.60