Finding the Third Proportional to 147,282 and 212,345.50

Step by Step Solution

1. Step 1: Write the proportion equation
   147,282 : 212,345.50 = 212,345.50 : x
2. Step 2: Convert to fraction form
   147,282/212,345.50 = 212,345.50/x
3. Step 3: Cross multiply
   147,282x = 212,345.50 × 212,345.50
4. Step 4: Simplify right side
   147,282x = 45,090,611,370.25
5. Step 5: Solve for x
   x = 45,090,611,370.25/147,282
6. Step 6: Final answer
   x = 306,151.54