Finding the Third Proportional to 135,386 and 198,460.50

Step by Step Solution

1. Step 1: Write the proportion equation
   135,386 : 198,460.50 = 198,460.50 : x
2. Step 2: Convert to fraction form
   135,386/198,460.50 = 198,460.50/x
3. Step 3: Cross multiply
   135,386x = 198,460.50 × 198,460.50
4. Step 4: Simplify right side
   135,386x = 39,386,570,060.25
5. Step 5: Solve for x
   x = 39,386,570,060.25/135,386
6. Step 6: Final answer
   x = 290,920.55