Finding the Third Proportional to 130,077 and 233,086.50

Step by Step Solution

1. Step 1: Write the proportion equation
   130,077 : 233,086.50 = 233,086.50 : x
2. Step 2: Convert to fraction form
   130,077/233,086.50 = 233,086.50/x
3. Step 3: Cross multiply
   130,077x = 233,086.50 × 233,086.50
4. Step 4: Simplify right side
   130,077x = 54,329,316,482.25
5. Step 5: Solve for x
   x = 54,329,316,482.25/130,077
6. Step 6: Final answer
   x = 417,670.43