Finding the Third Proportional to 69,688 and 148,365.50

Step by Step Solution

1. Step 1: Write the proportion equation
   69,688 : 148,365.50 = 148,365.50 : x
2. Step 2: Convert to fraction form
   69,688/148,365.50 = 148,365.50/x
3. Step 3: Cross multiply
   69,688x = 148,365.50 × 148,365.50
4. Step 4: Simplify right side
   69,688x = 22,012,321,590.25
5. Step 5: Solve for x
   x = 22,012,321,590.25/69,688
6. Step 6: Final answer
   x = 315,869.61