Finding the Third Proportional to 91,755 and 194,539.50

Step by Step Solution

1. Step 1: Write the proportion equation
   91,755 : 194,539.50 = 194,539.50 : x
2. Step 2: Convert to fraction form
   91,755/194,539.50 = 194,539.50/x
3. Step 3: Cross multiply
   91,755x = 194,539.50 × 194,539.50
4. Step 4: Simplify right side
   91,755x = 37,845,617,060.25
5. Step 5: Solve for x
   x = 37,845,617,060.25/91,755
6. Step 6: Final answer
   x = 412,463.81