Finding the Third Proportional to 102,993 and 137,945.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,993 : 137,945.50 = 137,945.50 : x
2. Step 2: Convert to fraction form
   102,993/137,945.50 = 137,945.50/x
3. Step 3: Cross multiply
   102,993x = 137,945.50 × 137,945.50
4. Step 4: Simplify right side
   102,993x = 19,028,960,970.25
5. Step 5: Solve for x
   x = 19,028,960,970.25/102,993
6. Step 6: Final answer
   x = 184,759.75