Finding the Third Proportional to 165,663 and 265,792.50

Step by Step Solution

1. Step 1: Write the proportion equation
   165,663 : 265,792.50 = 265,792.50 : x
2. Step 2: Convert to fraction form
   165,663/265,792.50 = 265,792.50/x
3. Step 3: Cross multiply
   165,663x = 265,792.50 × 265,792.50
4. Step 4: Simplify right side
   165,663x = 70,645,653,056.25
5. Step 5: Solve for x
   x = 70,645,653,056.25/165,663
6. Step 6: Final answer
   x = 426,441.95