Finding the Third Proportional to 96,688 and 149,405.50

Step by Step Solution

1. Step 1: Write the proportion equation
   96,688 : 149,405.50 = 149,405.50 : x
2. Step 2: Convert to fraction form
   96,688/149,405.50 = 149,405.50/x
3. Step 3: Cross multiply
   96,688x = 149,405.50 × 149,405.50
4. Step 4: Simplify right side
   96,688x = 22,322,003,430.25
5. Step 5: Solve for x
   x = 22,322,003,430.25/96,688
6. Step 6: Final answer
   x = 230,866.33