Finding the Third Proportional to 148,978.50 and 212,818.50

Step by Step Solution

1. Step 1: Write the proportion equation
   148,978.50 : 212,818.50 = 212,818.50 : x
2. Step 2: Convert to fraction form
   148,978.50/212,818.50 = 212,818.50/x
3. Step 3: Cross multiply
   148,978.50x = 212,818.50 × 212,818.50
4. Step 4: Simplify right side
   148,978.50x = 45,291,713,942.25
5. Step 5: Solve for x
   x = 45,291,713,942.25/148,978.50
6. Step 6: Final answer
   x = 304,015.10