Finding the Third Proportional to 127,656 and 298,174.50

Step by Step Solution

1. Step 1: Write the proportion equation
   127,656 : 298,174.50 = 298,174.50 : x
2. Step 2: Convert to fraction form
   127,656/298,174.50 = 298,174.50/x
3. Step 3: Cross multiply
   127,656x = 298,174.50 × 298,174.50
4. Step 4: Simplify right side
   127,656x = 88,908,032,450.25
5. Step 5: Solve for x
   x = 88,908,032,450.25/127,656
6. Step 6: Final answer
   x = 696,465.76