Finding the Third Proportional to 102,994.50 and 137,947.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,994.50 : 137,947.50 = 137,947.50 : x
2. Step 2: Convert to fraction form
   102,994.50/137,947.50 = 137,947.50/x
3. Step 3: Cross multiply
   102,994.50x = 137,947.50 × 137,947.50
4. Step 4: Simplify right side
   102,994.50x = 19,029,512,756.25
5. Step 5: Solve for x
   x = 19,029,512,756.25/102,994.50
6. Step 6: Final answer
   x = 184,762.42