Finding the Third Proportional to 101,614 and 137,072

Step by Step Solution

1. Step 1: Write the proportion equation
   101,614 : 137,072 = 137,072 : x
2. Step 2: Convert to fraction form
   101,614/137,072 = 137,072/x
3. Step 3: Cross multiply
   101,614x = 137,072 × 137,072
4. Step 4: Simplify right side
   101,614x = 18,788,733,184
5. Step 5: Solve for x
   x = 18,788,733,184/101,614
6. Step 6: Final answer
   x = 184,903.00