Finding the Third Proportional to 136,761 and 206,962.50

Step by Step Solution

1. Step 1: Write the proportion equation
   136,761 : 206,962.50 = 206,962.50 : x
2. Step 2: Convert to fraction form
   136,761/206,962.50 = 206,962.50/x
3. Step 3: Cross multiply
   136,761x = 206,962.50 × 206,962.50
4. Step 4: Simplify right side
   136,761x = 42,833,476,406.25
5. Step 5: Solve for x
   x = 42,833,476,406.25/136,761
6. Step 6: Final answer
   x = 313,199.50