Finding the Third Proportional to 136,953 and 205,753.50

Step by Step Solution

1. Step 1: Write the proportion equation
   136,953 : 205,753.50 = 205,753.50 : x
2. Step 2: Convert to fraction form
   136,953/205,753.50 = 205,753.50/x
3. Step 3: Cross multiply
   136,953x = 205,753.50 × 205,753.50
4. Step 4: Simplify right side
   136,953x = 42,334,502,762.25
5. Step 5: Solve for x
   x = 42,334,502,762.25/136,953
6. Step 6: Final answer
   x = 309,117.02