Finding the Third Proportional to 136,851.50 and 205,071.50

Step by Step Solution

1. Step 1: Write the proportion equation
   136,851.50 : 205,071.50 = 205,071.50 : x
2. Step 2: Convert to fraction form
   136,851.50/205,071.50 = 205,071.50/x
3. Step 3: Cross multiply
   136,851.50x = 205,071.50 × 205,071.50
4. Step 4: Simplify right side
   136,851.50x = 42,054,320,112.25
5. Step 5: Solve for x
   x = 42,054,320,112.25/136,851.50
6. Step 6: Final answer
   x = 307,298.93