Finding the Third Proportional to 69,146 and 106,789.50

Step by Step Solution

1. Step 1: Write the proportion equation
   69,146 : 106,789.50 = 106,789.50 : x
2. Step 2: Convert to fraction form
   69,146/106,789.50 = 106,789.50/x
3. Step 3: Cross multiply
   69,146x = 106,789.50 × 106,789.50
4. Step 4: Simplify right side
   69,146x = 11,403,997,310.25
5. Step 5: Solve for x
   x = 11,403,997,310.25/69,146
6. Step 6: Final answer
   x = 164,926.35