Finding the Third Proportional to 82,373.63 and 123,234.75

Step by Step Solution

1. Step 1: Write the proportion equation
   82,373.63 : 123,234.75 = 123,234.75 : x
2. Step 2: Convert to fraction form
   82,373.63/123,234.75 = 123,234.75/x
3. Step 3: Cross multiply
   82,373.63x = 123,234.75 × 123,234.75
4. Step 4: Simplify right side
   82,373.63x = 15,186,803,607.56
5. Step 5: Solve for x
   x = 15,186,803,607.56/82,373.63
6. Step 6: Final answer
   x = 184,364.88