Finding the Third Proportional to 102,995 and 137,948.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,995 : 137,948.50 = 137,948.50 : x
2. Step 2: Convert to fraction form
   102,995/137,948.50 = 137,948.50/x
3. Step 3: Cross multiply
   102,995x = 137,948.50 × 137,948.50
4. Step 4: Simplify right side
   102,995x = 19,029,788,652.25
5. Step 5: Solve for x
   x = 19,029,788,652.25/102,995
6. Step 6: Final answer
   x = 184,764.20