Finding the Third Proportional to 102,690 and 153,346.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,690 : 153,346.50 = 153,346.50 : x
2. Step 2: Convert to fraction form
   102,690/153,346.50 = 153,346.50/x
3. Step 3: Cross multiply
   102,690x = 153,346.50 × 153,346.50
4. Step 4: Simplify right side
   102,690x = 23,515,149,062.25
5. Step 5: Solve for x
   x = 23,515,149,062.25/102,690
6. Step 6: Final answer
   x = 228,991.62