Finding the Third Proportional to 73,583 and 113,911.50

Step by Step Solution

1. Step 1: Write the proportion equation
   73,583 : 113,911.50 = 113,911.50 : x
2. Step 2: Convert to fraction form
   73,583/113,911.50 = 113,911.50/x
3. Step 3: Cross multiply
   73,583x = 113,911.50 × 113,911.50
4. Step 4: Simplify right side
   73,583x = 12,975,829,832.25
5. Step 5: Solve for x
   x = 12,975,829,832.25/73,583
6. Step 6: Final answer
   x = 176,342.77