Finding the Third Proportional to 69,147 and 100,696.50

Step by Step Solution

1. Step 1: Write the proportion equation
   69,147 : 100,696.50 = 100,696.50 : x
2. Step 2: Convert to fraction form
   69,147/100,696.50 = 100,696.50/x
3. Step 3: Cross multiply
   69,147x = 100,696.50 × 100,696.50
4. Step 4: Simplify right side
   69,147x = 10,139,785,112.25
5. Step 5: Solve for x
   x = 10,139,785,112.25/69,147
6. Step 6: Final answer
   x = 146,641.00