Finding the Third Proportional to 123,258 and 176,138.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,258 : 176,138.50 = 176,138.50 : x
2. Step 2: Convert to fraction form
   123,258/176,138.50 = 176,138.50/x
3. Step 3: Cross multiply
   123,258x = 176,138.50 × 176,138.50
4. Step 4: Simplify right side
   123,258x = 31,024,771,182.25
5. Step 5: Solve for x
   x = 31,024,771,182.25/123,258
6. Step 6: Final answer
   x = 251,705.94