Finding the Third Proportional to 118,752 and 177,534.50

Step by Step Solution

1. Step 1: Write the proportion equation
   118,752 : 177,534.50 = 177,534.50 : x
2. Step 2: Convert to fraction form
   118,752/177,534.50 = 177,534.50/x
3. Step 3: Cross multiply
   118,752x = 177,534.50 × 177,534.50
4. Step 4: Simplify right side
   118,752x = 31,518,498,690.25
5. Step 5: Solve for x
   x = 31,518,498,690.25/118,752
6. Step 6: Final answer
   x = 265,414.47