Finding the Third Proportional to 101,982 and 146,884.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,982 : 146,884.50 = 146,884.50 : x
2. Step 2: Convert to fraction form
   101,982/146,884.50 = 146,884.50/x
3. Step 3: Cross multiply
   101,982x = 146,884.50 × 146,884.50
4. Step 4: Simplify right side
   101,982x = 21,575,056,340.25
5. Step 5: Solve for x
   x = 21,575,056,340.25/101,982
6. Step 6: Final answer
   x = 211,557.49