Finding the Third Proportional to 190,792.50 and 414,363

Step by Step Solution

1. Step 1: Write the proportion equation
   190,792.50 : 414,363 = 414,363 : x
2. Step 2: Convert to fraction form
   190,792.50/414,363 = 414,363/x
3. Step 3: Cross multiply
   190,792.50x = 414,363 × 414,363
4. Step 4: Simplify right side
   190,792.50x = 171,696,695,769
5. Step 5: Solve for x
   x = 171,696,695,769/190,792.50
6. Step 6: Final answer
   x = 899,913.23