Finding the Third Proportional to 72,506 and 102,106.50

Step by Step Solution

1. Step 1: Write the proportion equation
   72,506 : 102,106.50 = 102,106.50 : x
2. Step 2: Convert to fraction form
   72,506/102,106.50 = 102,106.50/x
3. Step 3: Cross multiply
   72,506x = 102,106.50 × 102,106.50
4. Step 4: Simplify right side
   72,506x = 10,425,737,342.25
5. Step 5: Solve for x
   x = 10,425,737,342.25/72,506
6. Step 6: Final answer
   x = 143,791.37