Finding the Third Proportional to 92,526 and 201,697.50

Step by Step Solution

1. Step 1: Write the proportion equation
   92,526 : 201,697.50 = 201,697.50 : x
2. Step 2: Convert to fraction form
   92,526/201,697.50 = 201,697.50/x
3. Step 3: Cross multiply
   92,526x = 201,697.50 × 201,697.50
4. Step 4: Simplify right side
   92,526x = 40,681,881,506.25
5. Step 5: Solve for x
   x = 40,681,881,506.25/92,526
6. Step 6: Final answer
   x = 439,680.54