Finding the Third Proportional to 101,075 and 156,942.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,075 : 156,942.50 = 156,942.50 : x
2. Step 2: Convert to fraction form
   101,075/156,942.50 = 156,942.50/x
3. Step 3: Cross multiply
   101,075x = 156,942.50 × 156,942.50
4. Step 4: Simplify right side
   101,075x = 24,630,948,306.25
5. Step 5: Solve for x
   x = 24,630,948,306.25/101,075
6. Step 6: Final answer
   x = 243,689.82