Finding the Third Proportional to 118,233 and 177,469.50

Step by Step Solution

1. Step 1: Write the proportion equation
   118,233 : 177,469.50 = 177,469.50 : x
2. Step 2: Convert to fraction form
   118,233/177,469.50 = 177,469.50/x
3. Step 3: Cross multiply
   118,233x = 177,469.50 × 177,469.50
4. Step 4: Simplify right side
   118,233x = 31,495,423,430.25
5. Step 5: Solve for x
   x = 31,495,423,430.25/118,233
6. Step 6: Final answer
   x = 266,384.37