Finding the Third Proportional to 90,045 and 194,055.50

Step by Step Solution

1. Step 1: Write the proportion equation
   90,045 : 194,055.50 = 194,055.50 : x
2. Step 2: Convert to fraction form
   90,045/194,055.50 = 194,055.50/x
3. Step 3: Cross multiply
   90,045x = 194,055.50 × 194,055.50
4. Step 4: Simplify right side
   90,045x = 37,657,537,080.25
5. Step 5: Solve for x
   x = 37,657,537,080.25/90,045
6. Step 6: Final answer
   x = 418,207.97