Finding the Third Proportional to 64,206 and 154,678.50

Step by Step Solution

1. Step 1: Write the proportion equation
   64,206 : 154,678.50 = 154,678.50 : x
2. Step 2: Convert to fraction form
   64,206/154,678.50 = 154,678.50/x
3. Step 3: Cross multiply
   64,206x = 154,678.50 × 154,678.50
4. Step 4: Simplify right side
   64,206x = 23,925,438,362.25
5. Step 5: Solve for x
   x = 23,925,438,362.25/64,206
6. Step 6: Final answer
   x = 372,635.55