Finding the Third Proportional to 188,025 and 410,347.50

Step by Step Solution

1. Step 1: Write the proportion equation
   188,025 : 410,347.50 = 410,347.50 : x
2. Step 2: Convert to fraction form
   188,025/410,347.50 = 410,347.50/x
3. Step 3: Cross multiply
   188,025x = 410,347.50 × 410,347.50
4. Step 4: Simplify right side
   188,025x = 168,385,070,756.25
5. Step 5: Solve for x
   x = 168,385,070,756.25/188,025
6. Step 6: Final answer
   x = 895,546.18