Finding the Third Proportional to 101,461 and 146,977.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,461 : 146,977.50 = 146,977.50 : x
2. Step 2: Convert to fraction form
   101,461/146,977.50 = 146,977.50/x
3. Step 3: Cross multiply
   101,461x = 146,977.50 × 146,977.50
4. Step 4: Simplify right side
   101,461x = 21,602,385,506.25
5. Step 5: Solve for x
   x = 21,602,385,506.25/101,461
6. Step 6: Final answer
   x = 212,913.19