Finding the Third Proportional to 130,978.50 and 214,101

Step by Step Solution

1. Step 1: Write the proportion equation
   130,978.50 : 214,101 = 214,101 : x
2. Step 2: Convert to fraction form
   130,978.50/214,101 = 214,101/x
3. Step 3: Cross multiply
   130,978.50x = 214,101 × 214,101
4. Step 4: Simplify right side
   130,978.50x = 45,839,238,201
5. Step 5: Solve for x
   x = 45,839,238,201/130,978.50
6. Step 6: Final answer
   x = 349,975.29