Finding the Third Proportional to 84,960 and 148,009.50

Step by Step Solution

1. Step 1: Write the proportion equation
   84,960 : 148,009.50 = 148,009.50 : x
2. Step 2: Convert to fraction form
   84,960/148,009.50 = 148,009.50/x
3. Step 3: Cross multiply
   84,960x = 148,009.50 × 148,009.50
4. Step 4: Simplify right side
   84,960x = 21,906,812,090.25
5. Step 5: Solve for x
   x = 21,906,812,090.25/84,960
6. Step 6: Final answer
   x = 257,848.54