Finding the Third Proportional to 83,820 and 113,902.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,820 : 113,902.50 = 113,902.50 : x
2. Step 2: Convert to fraction form
   83,820/113,902.50 = 113,902.50/x
3. Step 3: Cross multiply
   83,820x = 113,902.50 × 113,902.50
4. Step 4: Simplify right side
   83,820x = 12,973,779,506.25
5. Step 5: Solve for x
   x = 12,973,779,506.25/83,820
6. Step 6: Final answer
   x = 154,781.43