Finding the Third Proportional to 100,591 and 151,911.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,591 : 151,911.50 = 151,911.50 : x
2. Step 2: Convert to fraction form
   100,591/151,911.50 = 151,911.50/x
3. Step 3: Cross multiply
   100,591x = 151,911.50 × 151,911.50
4. Step 4: Simplify right side
   100,591x = 23,077,103,832.25
5. Step 5: Solve for x
   x = 23,077,103,832.25/100,591
6. Step 6: Final answer
   x = 229,415.19