Finding the Third Proportional to 100,564 and 149,106.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,564 : 149,106.50 = 149,106.50 : x
2. Step 2: Convert to fraction form
   100,564/149,106.50 = 149,106.50/x
3. Step 3: Cross multiply
   100,564x = 149,106.50 × 149,106.50
4. Step 4: Simplify right side
   100,564x = 22,232,748,342.25
5. Step 5: Solve for x
   x = 22,232,748,342.25/100,564
6. Step 6: Final answer
   x = 221,080.59