Finding the Third Proportional to 118,023 and 180,475.50

Step by Step Solution

1. Step 1: Write the proportion equation
   118,023 : 180,475.50 = 180,475.50 : x
2. Step 2: Convert to fraction form
   118,023/180,475.50 = 180,475.50/x
3. Step 3: Cross multiply
   118,023x = 180,475.50 × 180,475.50
4. Step 4: Simplify right side
   118,023x = 32,571,406,100.25
5. Step 5: Solve for x
   x = 32,571,406,100.25/118,023
6. Step 6: Final answer
   x = 275,975.07