Finding the Third Proportional to 82,051.50 and 122,938.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,051.50 : 122,938.50 = 122,938.50 : x
2. Step 2: Convert to fraction form
   82,051.50/122,938.50 = 122,938.50/x
3. Step 3: Cross multiply
   82,051.50x = 122,938.50 × 122,938.50
4. Step 4: Simplify right side
   82,051.50x = 15,113,874,782.25
5. Step 5: Solve for x
   x = 15,113,874,782.25/82,051.50
6. Step 6: Final answer
   x = 184,199.86