Finding the Third Proportional to 117,663 and 177,583.50

Step by Step Solution

1. Step 1: Write the proportion equation
   117,663 : 177,583.50 = 177,583.50 : x
2. Step 2: Convert to fraction form
   117,663/177,583.50 = 177,583.50/x
3. Step 3: Cross multiply
   117,663x = 177,583.50 × 177,583.50
4. Step 4: Simplify right side
   117,663x = 31,535,899,472.25
5. Step 5: Solve for x
   x = 31,535,899,472.25/117,663
6. Step 6: Final answer
   x = 268,018.83