Finding the Third Proportional to 82,199 and 123,298.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,199 : 123,298.50 = 123,298.50 : x
2. Step 2: Convert to fraction form
   82,199/123,298.50 = 123,298.50/x
3. Step 3: Cross multiply
   82,199x = 123,298.50 × 123,298.50
4. Step 4: Simplify right side
   82,199x = 15,202,520,102.25
5. Step 5: Solve for x
   x = 15,202,520,102.25/82,199
6. Step 6: Final answer
   x = 184,947.75